Finite Group DatabasebetaFinite Group DatabasebetaOrder 384.
256 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#827 | C2 | semidirect |
| 3. #5116 | C2 | semidirect |
| 4. #4562 | C2 | semidirect |
| 5. #4549 | C2 | semidirect |
| 13. C2×Dic12 | C22 | semidirect |
| 15. #818 | C22 | semidirect |
| 17. C2×C3⋊C16 | C22 | semidirect |
| 94. C22×C3 | SD32 | semidirect |
| 130. C22 | #827 | semidirect |
| 137. C3 | #2187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×D8 | 2 |
| C2×#827 | 2 |
| #5116 | 2 |
| #4562 | 2 |
| #4549 | 2 |
| #2187 | 3 |